11864640 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 2973696.

The previous prime is 11864639. The next prime is 11864641. The reversal of 11864640 is 4646811.

It is an interprime number because it is at equal distance from previous prime (11864639) and next prime (11864641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11864598 and 11864607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11864641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15957 + ... + 16683.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^11864640 is an apocalyptic number.

11864640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

11864640 is an abundant number, since it is smaller than the sum of its proper divisors (28076352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11864640 is a wasteful number, since it uses less digits than its factorization.

11864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11864640 is about 3444.5086732363. The cubic root of 11864640 is about 228.0787662607.

The spelling of 11864640 in words is "eleven million, eight hundred sixty-four thousand, six hundred forty".